1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Bumek [7]
3 years ago
15

Inverse of m(x)=2x^2-6

Mathematics
1 answer:
romanna [79]3 years ago
6 0
m(x)=2x^2-6\to y=2x^2-6\ \ \ \ |add\ 6\ to\ both\ sides\\\\2x^2=y+6\ \ \ \ \ |divide\ both\ sides\ by\ 2\\\\x^2=\dfrac{y+6}{2}\ \ \ \ |sqare\ root\ both\ sides\\\\x=\sqrt{\dfrac{y+6}{2}}\\\\Answer:\boxed{m^{-1}(x)=\sqrt{\frac{x+6}{2}}\ for\ x\geq-6}
You might be interested in
2x -2 = -200 <br><br><br> whats the value of x
Elden [556K]

Answer:

Step-by-step explanation:

2x - 2 = - 200

Bringing like terms on one side

2x = - 200 + 2 = - 198

2x = - 198

x = - 198/2 = - 99

4 0
2 years ago
Read 2 more answers
Roshan makes the table below to describe how to draw a ray diagram for a convex lens.
VikaD [51]

Answer:

The ray that goes parallel to the main axis after passing through the lens should also be parallel from the object to the lens

Step-by-step explanation:

To form the image of an object using a convex lens, ray diagrams are used. The following steps are followed when drawing ray diagrams.

1) Light rays are drawn from the object incidented on the lens and parallel to the principal axis. The incident light refracts (bends) through the lens and converges at the focal point at the other side of the lens.

2) Another incident light passes through the optical centre undeflected and intersect with the refracted ray at the other side of the lens.

Based on the above points, Roshan made an error by drawing the ray that goes parallel to the main axis and after passing through the lens made the same ray to be parallel from the object to the lens instead of refracting (bending) after passing through the lens.

7 0
3 years ago
Read 2 more answers
What is the answer to this question? If x=y, then 6x=6y
Sliva [168]

Answer:

This is a true statement. I think that's what you're asking.

Step-by-step explanation:

It is true because if x=y, than 6x=6y because both sides have a 6 and x=y

8 0
2 years ago
molly ran 2/3 of a mile in 8 minutes . if molly runs at that speed , how long will it take her to run one mile
Tom [10]
It would take her 12 minutes because if you mutipy 2/3 by 3/2 then you get 1 (as in one mile) and then you have to do that to the other side too so then you multiply 8 by 2/3 and get 12
4 0
2 years ago
Read 2 more answers
Joe drinks 10 liters of water every week. There are approximately 19 liters in 5 gallons. How many gallons of water would Joe dr
svetlana [45]

Answer:

8gallons

Step-by-step explanation:

If Joe drinks 10 liters of water every week, then;

10liters = 1 week

After 3weeks;

x litres =3 weeks

Divide both expressions

10/x = 1/3

x = 3*10

x = 30litres

This means he consumes 30litres in 3 weeks

If there are approximately 19 liters in 5 gallons, the;

19litres = 5gallons

To determine the number of gallons consumed in 3 weeks;

30litres = y

Divide both expressions

19/30 = 5/y

Cross multiply

19 * y = 30*5

19y = 150

y = 150/19

y = 7.89

y ≈ 8 (to nearest whole number)

Hence Joe drinks 8gallons of water in 3weeks

7 0
2 years ago
Other questions:
  • A gallon of paint covers 400 square feet. how many square feet will 2 3/8 gallons of paint cover
    13·1 answer
  • Each of five friends has between $3.50 and $4.25. Which could be the total amount of money the five friends have?
    11·2 answers
  • 6. Let A and B be nxn matrices . Compute (A + B) (A + B). Explain all steps.
    6·1 answer
  • I need to know the answer
    9·1 answer
  • If ∠P is a right angle and ∠P and ∠Q form a linear pair, then m∠Q is...?
    12·1 answer
  • The product of 40 and distance to the finish line
    13·2 answers
  • How to simplify -5 1/4-(-7 1/2
    11·1 answer
  • Two hot air balloons are traveling along the same path away from the town, beginning from different locations at the same time.
    5·2 answers
  • Nomonde earns a total salary of R63 420 p.a . Deductions from her salary amount to R5 785 for the year . Her other expenses are
    9·1 answer
  • Find the angle between the lines 2x-3y+5=0 and 2x-3y-7=0​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!